Preheat your oven to 350°F (175°C) and grease a 9x13-inch baking pan.

In a saucepan over low heat, melt the unsalted butter. Remove from heat and stir in sugar until well combined.

Add the eggs one at a time, mixing well after each addition. Stir in vanilla extract.

In a separate bowl, sift together the all-purpose flour, cocoa powder, baking powder, and salt. Gradually add the dry ingredients to the wet mixture, stirring until just combined.

Pour the brownie batter into the prepared baking pan, spreading it evenly.

In another bowl, beat the softened cream cheese until smooth. Add sugar, egg, and vanilla extract, beating until well incorporated.

Gently spread the cheesecake mixture over the brownie batter in the pan.

Use a knife or skewer to create swirls by running it through the layers, creating a marbled effect.

Bake in the preheated oven for 25-30 minutes or until a toothpick inserted into the center comes out with a few moist crumbs.

Allow the cheesecake brownies to cool completely before cutting into squares.

Serve and enjoy these delectable Cheesecake Brownies, savoring the perfect fusion of rich chocolatey brownie and creamy cheesecake layers.